Krasovskii and Shifted Passivity Approaches to Mixed Input/Output Consensus

Yu Kawano, Michele Cucuzzella, Jacquelien M. A. Scherpen · IEEE Control Systems Letters · 2023

In this letter, we consider nonlinear network systems under unknown disturbances and address the problem ofmixed input/output consensus, i.e., consensus among disjoint sets of input and output nodes. We develop two control schemes based on different notions of passivity: 1) Krasovskii passivity and 2) shifted passivity. Furthermore, we propose aninput consensuscontroller which is applicable to either Krasovskii or shifted passive systems. Finally, we validate the proposed controllers in simulation by achieving current sharing in a heterogeneous DC microgrid and power sharing in an AC power system, which are Krasovskii and shifted passive, respectively.

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